Normal forms and embeddings for power-log transseries

Abstract : Dulac series are asymptotic expansions of first return maps in a neighborhood of a hyperbolic polycycle. In this article, we consider two algebras of power-log transseries (generalized series) which extend the algebra of Dulac series. We give a formal normal form and prove a formal embedding theorem for transseries in these algebras. (C) 2016 Elsevier Inc. All rights reserved.
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https://hal-univ-bourgogne.archives-ouvertes.fr/hal-01414966
Contributeur : Imb - Université de Bourgogne <>
Soumis le : lundi 12 décembre 2016 - 16:55:26
Dernière modification le : lundi 6 février 2017 - 15:03:23

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P. Mardešić, M. Resman, J.-P. Rolin, V. Županović. Normal forms and embeddings for power-log transseries. Advances in Mathematics, Elsevier, 2016, 303, pp.888 - 953. <http://www.sciencedirect.com/science/article/pii/S0001870816302638>. <10.1016/j.aim.2016.08.030>. <hal-01414966>

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